5415811472000 has 512 divisors, whose sum is σ = 14480047296000. Its totient is φ = 2009488588800.

The previous prime is 5415811471997. The next prime is 5415811472017. The reversal of 5415811472000 is 2741185145.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357774852 + ... + 2357777148.

It is an arithmetic number, because the mean of its divisors is an integer number (28281342375).

Almost surely, 2^{5415811472000} is an apocalyptic number.

5415811472000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5415811472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240023648000).

5415811472000 is an abundant number, since it is smaller than the sum of its proper divisors (9064235824000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5415811472000 is a wasteful number, since it uses less digits than its factorization.

5415811472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 38.

The spelling of 5415811472000 in words is "five trillion, four hundred fifteen billion, eight hundred eleven million, four hundred seventy-two thousand".